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A Fast-Food Company Uses Two Management-Training Methods

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A fast-food company uses two management-training methods. Method 1 is a traditional method of training, and Method 2 is a new and innovative method. The company has just hired 31 new management trainees. 15 of the trainees are randomly selected and assigned to the first method, and the remaining 16 trainees are assigned to the second training method. After three months of training, the management trainees take a standardized test. The test was designed to evaluate their performance and learning from training. The sample mean score and sample standard deviation of the two methods are given below. The management wants to determine if the company should implement the new training method.
A fast-food company uses two management-training methods. Method 1 is a traditional method of training, and Method 2 is a new and innovative method. The company has just hired 31 new management trainees. 15 of the trainees are randomly selected and assigned to the first method, and the remaining 16 trainees are assigned to the second training method. After three months of training, the management trainees take a standardized test. The test was designed to evaluate their performance and learning from training. The sample mean score and sample standard deviation of the two methods are given below. The management wants to determine if the company should implement the new training method.    What is the absolute value of the rejection point (critical value of the test statistic) at α = .01? What is the absolute value of the rejection point (critical value of the test statistic) at α = .01?


Definitions:

Thought Disorder

A disturbance in the organization and expression of thought, often observed as fragmented or disconnected speech, indicative of certain mental illnesses.

Bleuler

A Swiss psychiatrist known for his work in the early 20th century, notably for coining the term "schizophrenia."

Schizophrenia

A severe mental disorder characterized by disturbances in thought, perception, and behavior, leading to a disconnect from reality.

Delusions of Grandeur

A belief in one's exaggerated sense of importance, power, knowledge, or identity, often found in manic or psychotic conditions.

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